On behavior of Fourier coefficients and uniform convergence of Fourier series in the Haar system

DOI10.15352/aot.1801-1300zbMath1412.42022OpenAlexW2805912284MaRDI QIDQ1790514

A. Kh. Kobelyan, Martin G. Grigoryan

Publication date: 2 October 2018

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aot/1528444822

zbMATH Keywords

uniform convergenceHaar systemFourier-Haar coefficients

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Completeness of sets of functions in one variable harmonic analysis (42A65) Convergence of Fourier series and of inverse transforms (43A50)

Cites Work

• Pointwise universality of partial sums of Fourier series by generalized Walsh system
• On series by Haar system
• On the convergence of Fourier series in the metric of \(L^ 1\)
• Some remarks on greedy algorithms
• Luzin's correction theorem and the coefficients of Fourier expansions in the Faber-Schauder system
• On the universal and strong \((L^1,L^\infty)\)-property related to Fourier-Walsh series
• Walsh series and adjustment of functions on small sets
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